VOL. 11 · NO. 3 | 2018
 
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Articles
Ruixiang Zhang
Anal. PDE 11 (3), 555-581, (2018) DOI: 10.2140/apde.2018.11.555
KEYWORDS: Brascamp–Lieb inequality, polynomial method, 42B10
Mariusz Mirek
Anal. PDE 11 (3), 583-608, (2018) DOI: 10.2140/apde.2018.11.583
KEYWORDS: discrete harmonic analysis, Radon operators, Hardy–Littlewood circle method, exponential sums, 11L07, 42B20, 42B25
David Cruz-Uribe, José María Martell, Cristian Rios
Anal. PDE 11 (3), 609-660, (2018) DOI: 10.2140/apde.2018.11.609
KEYWORDS: Muckenhoupt weights, degenerate elliptic operators, Kato problem, semigroups, holomorphic functional calculus, square functions, square roots of elliptic operators, Riesz transforms, Dirichlet problem, regularity problem, Neumann problem, 35B45, 35J15, 35J25, 35J70, 42B20, 42B37, 47A07, 47B44, 47D06
Joachim Krieger, Yannick Sire
Anal. PDE 11 (3), 661-682, (2018) DOI: 10.2140/apde.2018.11.661
KEYWORDS: wave equation, fractional wave maps, half-wave maps, Besov spaces, global regularity, 35L05, 35B40, 35A01
Tsukasa Iwabuchi
Anal. PDE 11 (3), 683-703, (2018) DOI: 10.2140/apde.2018.11.683
KEYWORDS: semigroup, Dirichlet Laplacian, Besov spaces, 35R11, 35K08
Albert Mas, Fabio Pizzichillo
Anal. PDE 11 (3), 705-744, (2018) DOI: 10.2140/apde.2018.11.705
KEYWORDS: Dirac operator, Klein's paradox, $\delta$-shell interaction, singular integral operator, approximation by scaled regular potentials, strong resolvent convergence, 81Q10, 35Q40, 42B20, 42B25
Błażej Wróbel
Anal. PDE 11 (3), 745-773, (2018) DOI: 10.2140/apde.2018.11.745
KEYWORDS: Riesz transform, Bellman function, orthogonal expansion, 42C10, 42A50, 33C50
Dario Bambusi, Benoît Grébert, Alberto Maspero, Didier Robert
Anal. PDE 11 (3), 775-799, (2018) DOI: 10.2140/apde.2018.11.775
KEYWORDS: reducibility, harmonic oscillators, growth of Sobolev norms, 35J10, 37K55
Jeffrey Galkowski, John A. Toth
Anal. PDE 11 (3), 801-812, (2018) DOI: 10.2140/apde.2018.11.801
KEYWORDS: eigenfunction, sup norms, defect measure, 35P20, 58J50
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